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Finding the Third Proportional to 305,325.70 and 651,228.61

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Solution

The third proportional to 305,325.70 and 651,228.61 is: 1,389,004.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,325.70 : 651,228.61 = 651,228.61 : x
  2. Step 2: Convert to fraction form
    305,325.70/651,228.61 = 651,228.61/x
  3. Step 3: Cross multiply
    305,325.70x = 651,228.61 × 651,228.61
  4. Step 4: Simplify right side
    305,325.70x = 424,098,701,668.50
  5. Step 5: Solve for x
    x = 424,098,701,668.50/305,325.70
  6. Step 6: Final answer
    x = 1,389,004.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.